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                    REVERSAL-ADDITION PALINDROME TEST ON 10548

                    Reverse and Add Process:

                    1. Pick a number.
                    2. Reverse its digits and add this value to the original number.
                    3. If this is not a palindrome, go back to step 2 and repeat.
                    Let's view this Reverse and Add sequence starting with 10548:
                    10548
                    + 84501
                    step 1: 95049
                    + 94059
                    step 2: 189108
                    + 801981
                    step 3: 991089
                    + 980199
                    step 4: 1971288
                    + 8821791
                    step 5: 10793079
                    + 97039701
                    step 6: 107832780
                    + 087238701
                    step 7: 195071481
                    + 184170591
                    step 8: 379242072
                    + 270242973
                    step 9: 649485045
                    + 540584946
                    step 10: 1190069991
                    + 1999600911
                    step 11: 3189670902
                    + 2090769813
                    step 12: 5280440715
                    + 5170440825
                    step 13: 10450881540
                    + 04518805401
                    step 14: 14969686941
                    + 14968696941
                    step 15: 29938383882
                    + 28838383992
                    step 16: 58776767874
                    + 47876767785
                    step 17: 106653535659
                    + 956535356601
                    step 18: 1063188892260
                    + 0622988813601
                    step 19: 1686177705861
                    + 1685077716861
                    step 20: 3371255422722
                    + 2272245521733
                    step 21: 5643500944455
                    + 5544490053465
                    step 22: 11187990997920
                    + 02979909978111
                    step 23: 14167900976031
                    + 13067900976141
                    step 24: 27235801952172
                    + 27125910853272
                    step 25: 54361712805444
                    + 44450821716345
                    step 26: 98812534521789
                    + 98712543521889
                    step 27: 197525078043678
                    + 876340870525791
                    step 28: 1073865948569469
                    + 9649658495683701
                    step 29: 10723524444253170
                    + 07135244442532701
                    step 30: 17858768886785871
                    10548 takes 30 iterations / steps to resolve into a 17 digit palindrome.

                    REVERSAL-ADDITION PALINDROME RECORDS

                    Most Delayed Palindromic Number for each digit length
                    (Only iteration counts for which no smaller records exist are considered. My program records only the smallest number that resolves for each distinct iteration count. For example, there are 18-digit numbers that resolve in 232 iterations, higher than the 228 iteration record shown for 18-digit numbers, but they were not recorded, as a smaller [17-digit] number already holds the record for 232 iterations.)

                    DigitsNumberResult
                    2
                    3
                    4
                    5
                    6
                    7
                    8
                    9
                    10
                    11
                    12
                    13
                    14
                    15
                    16
                    17
                    18
                    19
                    89
                    187
                    1,297
                    10,911
                    150,296
                    9,008,299
                    10,309,988
                    140,669,390
                    1,005,499,526
                    10,087,799,570
                    100,001,987,765
                    1,600,005,969,190
                    14,104,229,999,995
                    100,120,849,299,260
                    1,030,020,097,997,900
                    10,442,000,392,399,960
                    170,500,000,303,619,996
                    1,186,060,307,891,929,990
                    solves in 24 iterations.
                    solves in 23 iterations.
                    solves in 21 iterations.
                    solves in 55 iterations.
                    solves in 64 iterations.
                    solves in 96 iterations.
                    solves in 95 iterations.
                    solves in 98 iterations.
                    solves in 109 iterations.
                    solves in 149 iterations.
                    solves in 143 iterations.
                    solves in 188 iterations.
                    solves in 182 iterations.
                    solves in 201 iterations.
                    solves in 197 iterations.
                    solves in 236 iterations.
                    solves in 228 iterations.
                    solves in 261 iterations - World Record!
                    [View all records]

                    This reverse and add program was created by Jason Doucette.
                    Please visit my Palindromes and World Records page.
                    You have permission to use the data from this webpage (with due credit).
                    A link to my website is much appreciated. Thank you.

                    (This program has been run 2,095,785 times since Saturday, March 9th, 2002.)

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